更新时间:06-02 上传会员:小天天
分类:教育理论 论文字数:3743 需要金币:500个
摘要:数形结合,从字面意思说来,就是代数与几何相结合的关系,即抽象思维与形象思维的相互作用,实现数量关系与图形性质的相互转化。将抽象的数量关系与直观的图形结合起来研究,是一种重要的数学思想和一柄双刃的解题利“剑”。只有在学习过程中慢慢地培养数形结合思想,我们在解题过程中才能积极而有效地应用它,把看似无法解决的问题简单化、明朗化,让人有“山穷水尽疑无路,柳暗花明又一村”的感觉。
关键词:数形结合 中学数学 探析 运用
【Summary】: Several shapes combinations, From the literal meaning to say, That the image of abstract thinking and thinking interaction , achieving the quantitative relationship with the graphic nature of the transformation.The number of abstract relations and visual graphics combine research, is an important mathematical thinking and problem solving A double-edged benefit "sword." Only in the process of learning slowly to train combining numbers with shapes thinking, We were in the process of problem solving can be a positive and effective application of it, seemingly insoluble problems simplistic, clearer people "across the industry, we."
【Keyword】: Several shapes combinations High school mathematics Discussion and analysis Usage
数学的主要研究对象是现实世界的空间形式和数量关系的科学(恩格斯语)。从而就注定了数学中数与形的矛盾统一关系,数形结合思想应运而生。著名数学家拉格朗日指出:代数与几何在各自的道路上前进时,它们的进展是缓慢的,应用也很有限,但当这两门学科结合起来后,它们各自从对方汲取新鲜的活力,从此,便以很快的速度向着完美的境地飞跑。